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1987 • 3,702 citations

Cell and Environment Interactions in Tumor Microregions: The Multicell Spheroid Model

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SELF-REGULATION OF GROWTH IN THREE DIMENSIONS

1973 • 811 citations

The relation between cell proliferation and the vascular system in a transplanted mouse mammary tumour

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Models for the Growth of a Solid Tumor by Diffusion

1972 • 560 citations

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1965 • 315 citations

Radiation response of multicell spheroids--an in vitro tumour model.

1976 • 236 citations

Oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics

1976 • 196 citations

On the Access of Blood-Borne Dyes to Various Tumour Regions

1962 • 187 citations

A simplified mathematical model of tumor growth

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A re-examination of oxygen diffusion in a spherical cell with michaelis-menten oxygen uptake kinetics

1978 • 160 citations

Method for the determination of oxygen consumption rates and diffusion coefficients in multicellular spheroids

1984 • 140 citations

A mathematical model of tumor growth. II. effects of geometry and spatial nonuniformity on stability

1987 • 133 citations

Oxygen tensions in multicell spheroids of two cell lines

1982 • 129 citations

Oxygen Diffusion Distance and Development of Necrosis in Multicell Spheroids

1979 • 121 citations

In situ oxygen consumption rates of cells in V‐79 multicellular spheroids during growth

1984 • 103 citations

Cellular and geometric control of tissue growth and mitotic instability

1976 • 99 citations

A model for the growth of a solid tumor with non-uniform oxygen consumption

1977 • 87 citations

Mathematical models of tumor growth. IV. effects of a necrotic core

1989 • 84 citations

A model for the growth of multicellular spheroids

1982 • 76 citations

A mathematical model of tumor growth. III. comparison with experiment

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On oxygen diffusion in a spherical cell with michaelis-menten oxygen uptake kinetics

1983 • 57 citations

On the self-inhibited growth of cell cultures.

1974 • 52 citations

Radiation survival of cells from spheroids grown in different oxygen concentrations.

1979 • 50 citations

Optimization of Human Cancer Radiotherapy

1981 • 50 citations

Mathematical model of prevascular growth of a spherical carcinoma—part II

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Oxygen Consumption and Oxygen Diffusion Properties of Multicellular Spheroids from two Different Cell Lines

1984 • 44 citations

Determination of Diffusion Constants for Metabolites in Multicell Tumor Spheroids

1983 • 43 citations

Evidence for a Major Role of Glucose in Controlling Developmnet of Necrosis in EMT6/RO Multicell, Tumor Spheroids

1983 • 37 citations

Complementary variational principles for diffusion problems with Michaelis-Menten kinetics

1980 • 36 citations

A model of vascular compression in solid tumours

1979 • 27 citations

A model of oxygen diffusion in absorbing tissue

1982 • 26 citations

Oxygen Distribution in Tumours: Influence on Cell Proliferation and Implications for Tumour Therapy

1976 • 22 citations

Analysis of a nonlinear diffusion problem with michaelis-menten kinetics by an integral equation method

1982 • 15 citations

A finite integral transform technique for solving the diffusion-reaction equation with Michaelis-Menten kinetics

1981 • 14 citations

O2 Supply Conditions in Tumor Tissue in Vivo

1976 • 14 citations

MULTI-REGION MODELS FOR DESCRIBING OXYGEN TENSION PROFILES IN HUMAN TUMORS

1986 • 13 citations

Profiles of Oxygen Partial Pressure and Oxygen Consumption Inside Multicellular Spheroids

1984 • 12 citations

Oxygen tension profiles in tumors predicted by a diffusion with absorption model involving a moving free boundary

1988 • 12 citations

On the analysis of oxygen diffusion and reaction in biological systems

1987 • 11 citations

A mathematical model of tumor growth by diffusion

1989 • 11 citations

AN ANALYSIS OF SYSTEMIC TUMOR OXYGENATION USING MULTI-REGION MODELS

1988 • 10 citations

Model of diffusion of oxygen to spheroids grown in stationary medium—I. Complete spherical symmetry

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Nonlinear diffusion in biological systems

1979 • 8 citations

Note on a class of nonlinear time independent diffusion equations

1989 • 3 citations

A comment on Lin's paper on nonlinear diffusion in biological systems

1981 • 3 citations